Elliptic problems with convection terms in Orlicz spaces

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The existence of a solution to a Dirichlet problem, for a class of nonlinear elliptic equations, with a convection term, is established. The main novelties of the paper stand on general growth conditions on the gradient variable, and on minimal assumptions on Ω. The approach is based on the method of sub and supersolutions. The solution is a zero of an auxiliary pseudomonotone operator build via truncation techniques. We present also some examples in which we highlight the generality of our growth conditions.
Lingua originaleEnglish
pagine (da-a)1-28
Numero di pagine28
RivistaJournal of Mathematical Analysis and Applications
Stato di pubblicazionePublished - 2021

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